Design: Blocked RCT, with 2 levels, and randomization done at level 1 (individual level).
Models: Constant treatment effects, fixed treatment effects, and random treatment effects.
Default parameters:
Parameters by model type:
Assumptions:
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6 (This should not affect power!)
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.8, 0.8, 0.8
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.124 | 0.502 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.124 | 0.33 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.125 | 0.427 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.123 | 0.381 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.125 | 0.503 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.124 | 0.332 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.129 | 0.456 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.123 | 0.383 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2f
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.124 | 0.43 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.125 | 0.242 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.124 | 0.337 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.125 | 0.291 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.425 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.399 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 52 | 0.452 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 52 | 0.41 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 21 | 0.43 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.398 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 53 | 0.454 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 49 | 0.379 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+---------------+--------------------+
## | MTP | Sample type | Sample size | D1indiv power | Target sample size |
## +======+=============+=============+===============+====================+
## | BH | J | 20 | 0.34 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | J | 21 | 0.309 | 20 |
## +------+-------------+-------------+---------------+--------------------+
## | BH | nbar | 49 | 0.333 | 50 |
## +------+-------------+-------------+---------------+--------------------+
## | Holm | nbar | 50 | 0.288 | 50 |
## +------+-------------+-------------+---------------+--------------------+
##
## Table: blocked_i1_2r